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Finding the Fourth Proportional to 1,733.78, 2,600.69 and 965.90

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Solution

The fourth proportional to 1,733.78, 2,600.69 and 965.90 is: 1,448.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.78 : 2,600.69 = 965.90 : x
  2. Step 2: Convert to fraction form
    1,733.78/2,600.69 = 965.90/x
  3. Step 3: Cross multiply
    1,733.78x = 2,600.69 × 965.90
  4. Step 4: Simplify right side
    1,733.78x = 2,512,006.47
  5. Step 5: Solve for x
    x = 2,512,006.47/1,733.78
  6. Step 6: Final answer
    x = 1,448.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.